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Finding the Fourth Proportional to 123.48, 185.16 and 54.95

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Solution

The fourth proportional to 123.48, 185.16 and 54.95 is: 82.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.48 : 185.16 = 54.95 : x
  2. Step 2: Convert to fraction form
    123.48/185.16 = 54.95/x
  3. Step 3: Cross multiply
    123.48x = 185.16 × 54.95
  4. Step 4: Simplify right side
    123.48x = 10,173.62
  5. Step 5: Solve for x
    x = 10,173.62/123.48
  6. Step 6: Final answer
    x = 82.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.